Finite Group Databasebeta

← Group #11888605

Character table — Group #11888605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order122233446666662344466666666666121212121212412121212121212121212121212121212121212121222888844444668812122424242424242424244121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ51111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-11-1-1111-1111111-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ71111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ81111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-11111
χ911111111111111-1111-1-1-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-111111111-11-111-1-1-1-111-1-111-1-11-1-1-11-11
χ1011111111111111-1111-1-1-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1111-11-1
χ1111111111111111-1111-1-1-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-1-111-111-111-1
χ1211111111111111-1111-1-1-1-1-11-1-1-1-1111-1-1111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-111-1-1111-1-11-1-11
χ1311111111111111-11-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-111-1-1-1-111-1111-1-11
χ1411111111111111-11-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-1111111-1-1-1-111-11-11111-1-1-1-111-1-1111-1-1-111-1
χ1511111111111111-11-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-11111111-11-1-1-1-11111-1-111-1-11-1-11-11-1
χ1611111111111111-11-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11-111-1-11111-1-1-111-11-11
χ17222222-2-22222222200-222222222222-2-2-2-2-2-2000000000-2-2-2-2-2000000000000002200000000000000000-22-20000
χ18222222-2-22222222200-222222222222-2-2-2-2-2-2000000000-2-2-2-2-200000000000000-2-2000000000000000002-220000
χ19222222-2-2222222-22002-2-2-2-22-2-2-2-222-222-2-2-20000000002-2-222000000000000002200000000000000000-2-220000
χ20222222-2-2222222-22002-2-2-2-22-2-2-2-222-222-2-2-20000000002-2-22200000000000000-2-20000000000000000022-20000
χ2122222-122-12-122-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-122220000200-1-102-1-10000-1-1-1-10000000
χ2222222-122-12-122-12-122222-1-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-200110-211000011110000000
χ2322222-122-12-122-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-211-2-2112-1-1-1-11111111122-2-20000200-1-10-2-1-1000011110000000
χ2422222-122-12-122-12-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-211-2-2112-1-1-1-111111111-2-2220000-2001102110000-1-1-1-10000000
χ2522222-122-12-122-1-2-122-2-2-211-11111-1-1-11122-1-222-1-1-2-211-2-1-111-1-1-1-1111122220000-200-1-10-2110000-1-1110000000
χ2622222-122-12-122-1-2-122-2-2-211-11111-1-1-11122-1-222-1-1-2-211-2-1-111-1-1-1-11111-2-2-2-200002001102-1-1000011-1-10000000
χ2722222-122-12-122-1-2-1-2-2-2-2-211-11111-1-1-11122-12-2-21122-1-1-2-1-1111111-1-1-1-122-2-20000-200-1-10211000011-1-10000000
χ2822222-122-12-122-1-2-1-2-2-2-2-211-11111-1-1-11122-12-2-21122-1-1-2-1-1111111-1-1-1-1-2-2220000200110-2-1-10000-1-1110000000
χ292222-12222-12-1-122-1222-1-122-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-100002200022002000-1-1-1-10000000-1-100
χ302222-12222-12-1-122-1222-1-122-1-1-1-1-1-1-1222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2000-2-200-2000111100000001100
χ312222-12222-12-1-122-1-2-22-1-122-1-1-1-1-1-1-1222-1-12-211-2-211-2-2-1-1-1-1-111111111000022000-2-2002000-1-1-1-100000001100
χ322222-12222-12-1-122-1-2-22-1-122-1-1-1-1-1-1-1222-1-12-211-2-211-2-2-1-1-1-1-1111111110000-2-20002200-200011110000000-1-100
χ332222-12222-12-1-12-2-122-211-2-2-11111-1-12-2-2-1-12-2-1-12211-2-21-1-111-1-1-1-111110000220002-200-2000-1-11100000001-100
χ342222-12222-12-1-12-2-122-211-2-2-11111-1-12-2-2-1-12-2-1-12211-2-21-1-111-1-1-1-111110000-2-2000-2200200011-1-10000000-1100
χ352222-12222-12-1-12-2-1-2-2-211-2-2-11111-1-12-2-2-1-12211-2-2-1-1221-1-1111111-1-1-1-1000022000-2200-2000-1-1110000000-1100
χ362222-12222-12-1-12-2-1-2-2-211-2-2-11111-1-12-2-2-1-12211-2-2-1-1221-1-1111111-1-1-1-10000-2-20002-200200011-1-100000001-100
χ372-22-2222-2-2-2-2-222022i−2i00000-200002-22002-2-202i−2i2i−2i000002-2002i2i−2i−2i00002-22i−2i00000002-2000000002i−2i000000000
χ382-22-2222-2-2-2-2-222022i−2i00000-200002-22002-2-202i−2i2i−2i000002-2002i2i−2i−2i0000-22−2i2i0000000-2200000000−2i2i000000000
χ392-22-2222-2-2-2-2-22202−2i2i00000-200002-22002-2-20−2i2i−2i2i000002-200−2i−2i2i2i00002-2−2i2i00000002-200000000−2i2i000000000
χ402-22-2222-2-2-2-2-22202−2i2i00000-200002-22002-2-20−2i2i−2i2i000002-200−2i−2i2i2i0000-222i−2i0000000-22000000002i−2i000000000
χ412-22-22-12-21-21-22-10-12i−2i000−i3i31−i3−i3i3i3-11-1−i3i32-2102i−2i−ii003−30-11−i3i3−i−iii33−3−32-22i−2i0000000-1100−i3i30000−ii3−30000000
χ422-22-22-12-21-21-22-10-12i−2i000−i3i31−i3−i3i3i3-11-1−i3i32-2102i−2i−ii003−30-11−i3i3−i−iii33−3−3-22−2i2i00000001-100i3−i30000i−i−330000000
χ432-22-22-12-21-21-22-10-12i−2i000i3−i31i3i3−i3−i3-11-1i3−i32-2102i−2i−ii00−330-11i3−i3−i−iii−3−3332-22i−2i0000000-1100i3−i30000−ii−330000000
χ442-22-22-12-21-21-22-10-12i−2i000i3−i31i3i3−i3−i3-11-1i3−i32-2102i−2i−ii00−330-11i3−i3−i−iii−3−333-22−2i2i00000001-100−i3i30000i−i3−30000000
χ452-22-22-12-21-21-22-10-1−2i2i000−i3i31−i3−i3i3i3-11-1−i3i32-210−2i2ii−i00−330-11−i3i3ii−i−i−3−3332-2−2i2i0000000-1100−i3i30000i−i−330000000
χ462-22-22-12-21-21-22-10-1−2i2i000−i3i31−i3−i3i3i3-11-1−i3i32-210−2i2ii−i00−330-11−i3i3ii−i−i−3−333-222i−2i00000001-100i3−i30000−ii3−30000000
χ472-22-22-12-21-21-22-10-1−2i2i000i3−i31i3i3−i3−i3-11-1i3−i32-210−2i2ii−i003−30-11i3−i3ii−i−i33−3−32-2−2i2i0000000-1100i3−i30000i−i3−30000000
χ482-22-22-12-21-21-22-10-1−2i2i000i3−i31i3i3−i3−i3-11-1i3−i32-210−2i2ii−i003−30-11i3−i3ii−i−i33−3−3-222i−2i00000001-100−i3i30000−ii−330000000
χ4944444-2-4-4-24-244-24-200-444-2-2-2-2-2-2-2-2-2222-4-42000000000-422220000000000000000000000000000000000000000
χ5044444-2-4-4-24-244-2-4-2004-4-422-22222-2-22-2-2-4-42000000000422-2-20000000000000000000000000000000000000000
χ514444-24-4-44-24-2-244-200-4-2-244-2-2-2-2-2-2-2-4-4-422-4000000000222220000000000000000000000000000000000000000
χ524444-24-4-44-24-2-24-4-200422-4-4-22222-2-2-44422-4000000000-222-2-20000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-241-4-44-2-2-2-21111111-2-2-2-2-2-2-422222222-21111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4144-422221-1-1-1-111-222-2-2-2-4-2-2-2-22222211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-4-4-422221-1-1-1-111-222-2-2-242222-2-2-2-2211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-211111112222220000000002-1-1-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-24100-4-2-2-2-211111112222220000000002-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-1112-2-2222000000000-2-1-1113-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-4100422221-1-1-1-1112-2-2222000000000-2-1-111-33-333-33-300000000000000000000000000000000
χ6144-4-44400-444-4-4-4040000000-40000-4400000000000000000000000000000000−2i22i200000000000−2i22i20000000000000
χ6244-4-44400-444-4-4-4040000000-40000-44000000000000000000000000000000002i2−2i2000000000002i2−2i20000000000000
χ6344-4-4-2400-4-2422-40-2000−2i32i3002−2i32i3−2i32i32-200000000000000000000000000000000−2i22i200000000000i2−i26−600000000000
χ6444-4-4-2400-4-2422-40-2000−2i32i3002−2i32i3−2i32i32-2000000000000000000000000000000002i2−2i200000000000−i2i2−6600000000000
χ6544-4-4-2400-4-2422-40-20002i3−2i30022i3−2i32i3−2i32-200000000000000000000000000000000−2i22i200000000000i2−i2−6600000000000
χ6644-4-4-2400-4-2422-40-20002i3−2i30022i3−2i32i3−2i32-2000000000000000000000000000000002i2−2i200000000000−i2i26−600000000000
χ674-44-444-44-4-4-4-444040000000-400004-4-400-4440000000000-44000000000000000000000000000000000000000000
χ684-44-44-2-442-42-44-20-200000−2i32i32−2i3−2i32i32i3-2222i3−2i3-44-200000000002-22i3−2i30000000000000000000000000000000000000000
χ694-44-44-2-442-42-44-20-2000002i3−2i322i32i3−2i3−2i3-222−2i32i3-44-200000000002-2−2i32i30000000000000000000000000000000000000000
χ704-44-4-244-4-42-42-240-24i−4i0000020000-22400-22-40−2i2i4i−4i00000-2200−2i−2i2i2i000000000000000000000000000000000000
χ714-44-4-244-4-42-42-240-2−4i4i0000020000-22400-22-402i−2i−4i4i00000-22002i2i−2i−2i000000000000000000000000000000000000
χ724-44-4-24-44-42-42-240-2000000020000-22-4002-240000023−230002-200000023−23−232300000000000000000000000000000000
χ734-44-4-24-44-42-42-240-2000000020000-22-4002-2400000−23230002-2000000−232323−2300000000000000000000000000000000
χ744-44-4-2-24-42222-2-2014i−4i000−2i32i3-1i3i3−i3−i31-1-2−2i32i3-2220−2i2i−2i2i0023−2301-1i3−i3ii−i−i−3−33300000000000000000000000000000000
χ754-44-4-2-24-42222-2-2014i−4i0002i3−2i3-1−i3−i3i3i31-1-22i3−2i3-2220−2i2i−2i2i00−232301-1−i3i3ii−i−i33−3−300000000000000000000000000000000
χ764-44-4-2-24-42222-2-201−4i4i000−2i32i3-1i3i3−i3−i31-1-2−2i32i3-22202i−2i2i−2i00−232301-1i3−i3−i−iii33−3−300000000000000000000000000000000
χ774-44-4-2-24-42222-2-201−4i4i0002i3−2i3-1−i3−i3i3i31-1-22i3−2i3-22202i−2i2i−2i0023−2301-1−i3i3−i−iii−3−33300000000000000000000000000000000
χ784-44-4-2-2-442222-2-20100000−2i32i3-1i3i3−i3−i31-122i3−2i32-2-20000023−23000-11−i3i3−3i3i3i−3i−333−300000000000000000000000000000000
χ794-44-4-2-2-442222-2-20100000−2i32i3-1i3i3−i3−i31-122i3−2i32-2-200000−2323000-11−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000
χ804-44-4-2-2-442222-2-201000002i3−2i3-1−i3−i3i3i31-12−2i32i32-2-20000023−23000-11i3−i33i−3i−3i3i−333−300000000000000000000000000000000
χ814-44-4-2-2-442222-2-201000002i3−2i3-1−i3−i3i3i31-12−2i32i32-2-200000−2323000-11i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000
χ824-4-4444004-4-44-4-404000000040000-4-400000000000000000000000000000000004i−4i000000000000000000000000
χ834-4-4444004-4-44-4-404000000040000-4-40000000000000000000000000000000000−4i4i000000000000000000000000
χ8488-8-88-40048-4-8-840-40000000400004-4000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-4-444402000−4i34i300-22i3−2i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-4444020004i3−4i300-2−2i32i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000
χ878-8-888-400-4-848-840-40000000-4000044000000000000000000000000000000000000000000000000000000000000
χ888-8-88-480084-8-44-80-40000000-4000044000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-444-44402000000026-6-66-2-2000000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-444-4440200000002-666-6-2-2000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).